Processing math: 19%

Table of Symbols

The symbols used in this document are summarized in the Table of Symbols along with their units. Throughout the document, symbols in bold will represent vectors, and scalars otherwise. The symbols are listed in alphabetical order. For vector quantities, the units shown are for each component of the vector.

SymbolDescriptionUnits
aScalar accelerationms2
acConstant accelerationms2
axx-component of accelerationms2
axcx-component of constant accelerationms2
ayy-component of accelerationms2
aycy-component of constant accelerationms2
\boldsymbol{a}\text{(}t\text{)}Acceleration\frac{\text{m}}{\text{s}^{2}}
{\boldsymbol{a}^{\text{c}}}Constant acceleration vector\frac{\text{m}}{\text{s}^{2}}
{d_{\text{offset}}}Distance between the target position and the landing position{\text{m}}
gMagnitude of gravitational acceleration\frac{\text{m}}{\text{s}^{2}}
pScalar position{\text{m}}
p\text{(}t\text{)}1D position{\text{m}}
{p^{\text{i}}}Initial position{\text{m}}
{p_{\text{land}}}Landing position{\text{m}}
{p_{\text{target}}}Target position{\text{m}}
{p_{\text{x}}}x-component of position{\text{m}}
{{p_{\text{x}}}^{\text{i}}}x-component of initial position{\text{m}}
{p_{\text{y}}}y-component of position{\text{m}}
{{p_{\text{y}}}^{\text{i}}}y-component of initial position{\text{m}}
\boldsymbol{p}\text{(}t\text{)}Position{\text{m}}
sOutput message as a string
tTime{\text{s}}
{t_{\text{flight}}}Flight duration{\text{s}}
vSpeed\frac{\text{m}}{\text{s}}
v\text{(}t\text{)}1D speed\frac{\text{m}}{\text{s}}
{v^{\text{i}}}Initial speed\frac{\text{m}}{\text{s}}
{v_{\text{launch}}}Launch speed\frac{\text{m}}{\text{s}}
{v_{\text{x}}}x-component of velocity\frac{\text{m}}{\text{s}}
{{v_{\text{x}}}^{\text{i}}}x-component of initial velocity\frac{\text{m}}{\text{s}}
{v_{\text{y}}}y-component of velocity\frac{\text{m}}{\text{s}}
{{v_{\text{y}}}^{\text{i}}}y-component of initial velocity\frac{\text{m}}{\text{s}}
\boldsymbol{v}\text{(}t\text{)}Velocity\frac{\text{m}}{\text{s}}
{\boldsymbol{v}^{\text{i}}}Initial velocity\frac{\text{m}}{\text{s}}
εHit tolerance
θLaunch angle{\text{rad}}
πRatio of circumference to diameter for any circle

Table of Symbols